About this Journal Submit a Manuscript Table of Contents
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 421328, 10 pages
http://dx.doi.org/10.1155/2013/421328
Research Article

Positive Interpolation Operators with Exponential-Type Weights

1Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea
2Department of Mathematics, Meijo University, Nagoya 468-8502, Japan

Received 26 December 2012; Accepted 7 March 2013

Academic Editor: Roberto Barrio

Copyright © 2013 Hee Sun Jung and Ryozi Sakai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Knopfmacher, “Positive convergent approximation operators associated with orthogonal polynomials for weights on the whole real line,” Journal of Approximation Theory, vol. 46, no. 2, pp. 182–203, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. E. Levin and D. S. Lubinsky, Orthogonal Polynomials for Exponential Weights, Springer, New York, NY, USA, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  3. H. Jung and R. Sakai, “Specific examples of exponential weights,” Communications of the Korean Mathematical Society, vol. 24, no. 2, pp. 303–319, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. H. S. Jung and R. Sakai, “Orthonormal polynomials with exponential-type weights,” Journal of Approximation Theory, vol. 152, no. 2, pp. 215–238, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. H. S. Jung, G. Nakamura, R. Sakai, and N. Suzuki, “Convergence and divergence of higher-order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights,” ISRN Mathematical Analysis, vol. 2012, Article ID 904169, 31 pages, 2012. View at Zentralblatt MATH · View at MathSciNet
  6. R. Sakai and N. Suzuki, “Mollification of exponential-type weights and its application to Markov-Bernstein inequality,” Pioneer Journal of Mathematics and Mathematical Siences, vol. 7, no. 1, pp. 83–101, 2013.